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LenKa [72]
3 years ago
10

A circle with radius 3 has a sector with a central angle of 1/9 pi radians

Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0

Complete question:

A circle with radius 3 has a sector with a central angle of 1/9 pi radians

what is the area of the sector?

Answer:

The area of the sector = \frac{\pi}{2} square units

Step-by-step explanation:

To find the area of the sector of a circle, let's use the formula:

A = \frac{1}{2} r^2 \theta

Where, A = area

r = radius = 3

\theta = \frac{1}{9}\pi

Substituting values in the formula, we have:

A = \frac{1}{2}*3^2* \frac{1}{9}\pi

A = \frac{1}{2}*9* \frac{1}{9}\pi

A = 4.5 * \frac{1}{9}\pi

A = \frac{\pi}{2}

The area of the sector = \frac{\pi}{2} square units

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The GCF for 88 and 24 is 8 
The GCF for r^18 and r^13 is r^13 (because they both contain r^13 in them) 

=8r^13(11, 3) 

Hope I helped :) 
8 0
3 years ago
What is 0.84 as a fraction in the lowest term​
jok3333 [9.3K]

Answer:

well to start off its highest form is 84/100

Step-by-step explanation:

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3 years ago
Read 2 more answers
Write L if it is likely to happen and U if unlikely to happen.
maria [59]

Answer:

Probabilities

        Likely to happen (L)      Unlikely to happen (U)

a.      4/5                                 5/8

b.     3/5                                  3/8

c.     4/5                                  4/7

d.    0.3                                  0.09

e.    5/6 and 4/5                   2/3

Step-by-step explanation:

Probabilities in Percentages:

a. The probability of 4/5 = 80% and 5/8 = 62.5%

b. The probability of 3/8 = 37.5% and 3/5 = 60%

c. The probability of 4/5 = 80% and 4/7 = 57%

d. The probability of 0.3 = 30% and 0.09 = 9%

e. The probability of 2/3 = 67% and 4/5 = 80% and 5/6 = 83%

b) To determine the relative values of the fractional probabilities, it is best to reduce them to their fractional or percentage terms.  When this is done, the relative sizes become obvious, and then, comparisons can be made.

3 0
3 years ago
Find the protect of -3.5 (-1 1/3
STatiana [176]

Answer:

14/3      4 2/3, 4.6            

Step-by-step explanation:

Hope this helps!!

5 0
2 years ago
the sum of three numbers is 79. The second number is 5 times the first, while the third is 16 more than the first. Find the numb
swat32
Let the 1st number be x; 2nd number be y; 3rd number be z.

x + y + z = 79

x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first

Therefor,

x + (x * 5) + (x+16) = 79

1st step, multiply the 2nd number: x * 5 = 5x

x + 5x + x + 16 = 79

Add all like numbers:

7x + 16 = 79

To get x, transfer 16 to the other side and change its sign from positive to negative.

7x = 79 - 16
7x = 63

To get x, divide both sides by 7

7x/7 = 63/7
x = 9

To check. Substitute x by 9.

x + (x * 5) + (x+16) = 79

9 + (9 * 5) + (9 + 16) = 79
9 + 45 + 25 = 79
79 = 79 equal. value of x is correct.

3 0
3 years ago
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